What is the Greatest Common Factor of 3478 and 3496?

Greatest common factor (GCF) of 3478 and 3496 is 2.

GCF(3478,3496) = 2

We will now calculate the prime factors of 3478 and 3496, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3478 and 3496.

How to find the GCF of 3478 and 3496?

We will first find the prime factorization of 3478 and 3496. After we will calculate the factors of 3478 and 3496 and find the biggest common factor number .

Step-1: Prime Factorization of 3478

Prime factors of 3478 are 2, 37, 47. Prime factorization of 3478 in exponential form is:

3478 = 2¹ × 37¹ × 47¹

Step-2: Prime Factorization of 3496

Prime factors of 3496 are 2, 19, 23. Prime factorization of 3496 in exponential form is:

3496 = 2³ × 19¹ × 23¹

Step-3: Factors of 3478

List of positive integer factors of 3478 that divides 3478 without a remainder.

1, 2, 37, 47, 74, 94, 1739

Step-4: Factors of 3496

List of positive integer factors of 3496 that divides 3478 without a remainder.

1, 2, 4, 8, 19, 23, 38, 46, 76, 92, 152, 184, 437, 874, 1748

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3478 and 3496. The biggest common factor number is the GCF number.
So the greatest common factor 3478 and 3496 is 2.

Also check out the Least Common Multiple of 3478 and 3496